General Chemistry 10th Edition

Published by Cengage Learning
ISBN 10: 1-28505-137-8
ISBN 13: 978-1-28505-137-6

Chapter 1 - Chemistry and Measurement - Questions and Problems - Page 39: 1.167

Answer

m = 3 x $10^{21}$ g

Work Step by Step

m = d x V The density of ice is given 0.917 g/cm3. To find the volume of ice we have to find first the surface that is covered by ice, and than the volume of the ice. Surface covered by ice: 840,000 $mi^{2}$ - 132,000 $mi^{2}$ = 708,000 $mi^{2}$. Converted this surface : 708,000 $mi^{2}$ x $\frac{(5,280 ft)^{2}}{1 mi^{2}}$= 7.08 x $10^{5}$ x 28 x $10^{6}ft^{2}$= 198 x $10^{11}ft^{2}$ Volume V = surface x height (thickness) V = 198 x $10^{11}ft^{2}$ x 5 x $10^{3}$ft V = 990 x$10^{14}ft^{3}$ V = 990 x$10^{14}ft^{3}$ x $\frac{(12in)^{3}}{1 ft^{3}}$ x $\frac{(2.54cm)^{3}}{1in^{3}}$ V = 2.8 x $10^{21}cm^{3}$ m = d x V m = 0.917 $\frac{g}{cm^{3}}$ x 2.8 x $10^{21}cm^{3}$ m = 2.6 x $10^{21}$ g or m = 3 x $10^{21}$ g
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